What is the limit as x approaches infinity of 2x^2-4x-2 ?

The limit as x approaches infinity of 2x^2-4x-2 is infinity

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limit as x approaches infinity of 2x^2-4x-2

x \to \infty lim (2 x^{2} - 4 x - 2)

\infty

Solution steps

x \to \infty lim (2 x^{2} - 4 x - 2)

Apply Infinity Property:

x \to \pm \infty lim (a x^{n} + \dots + b x + c) = \infty, a > 0,

n is even

a = 2, n = 2

= \infty

x \to - 3 + lim (\frac{2 x - 1}{x - 3})

x \to \infty lim (\frac{- 5 x ^{2} + 20 x}{x ^{3} - 3 x ^{2} - 4 x})

x \to 0 lim (\frac{sin ( 5 x )}{tan ( x )})

x \to 0 - lim (x cot (π x))

x \to 0 lim (\frac{x sin ( x )}{x})

What is the limit as x approaches infinity of 2x^2-4x-2 ?
The limit as x approaches infinity of 2x^2-4x-2 is infinity